[tex]f(x) = {x}^{2} + x - 2 \\ f( - 2x) = ( - 2x) ^{2} + ( - 2x) - 2 \\ = 4 {x}^{2} - 2x - 2 \\ \\ g(x) = 3f( - 2x) \\ g(x) = 3(4 {x}^{2} - 2x - 2) \\ = 12 {x}^{2} - 6x - 6 \\ = 6(2x + 1)(x - 1) \\ \\ g(x) = \sqrt{3f( - 2x)} \\ = \sqrt{3(4 {x}^{2} - 2x - 2)} \\ = \sqrt{12 {x}^{2} - 6x - 6} \\ = \sqrt{6(2x + 1)(x - 1)} \\ x = - \frac{1}{2} ,1[/tex]
From what I understood from the question I answered, I'm not sure about it , I hope this helps you ^_^
What is lim j(x)?
X-3
9514 1404 393
Answer:
(b) 4
Step-by-step explanation:
The point (3, 4) is a "hole" in the graph. The function approaches the value y=4 from either direction, so that is the limit as x → 3.
[tex]\displaystyle\lim_{x\to3}f(x)=4[/tex]
Question 19 of 20:
Select the best swer for the question
19. The distance from the center of a round table top to the edge of the table top is 4 ft what is the area of the table top
Answer:
50.26 ft^2
Step-by-step explanation:
Area=pi*r^2
Area=pi*(4)^2=pi*16=50.26
What year was it when I was a freshman if I graduated this year(2021)?
Answer:
2019
Step-by-step explanation:
I am assuming you mean graduated from high school. If that's the case it's 2019. Sophmore year means 9th grade. which is 2019!
?????????????please help
Answer:
ok so you take m time h then like you count to h like a b c d e f g h and tgen with that you count 1 2 3 4 5 6 7 till h than you multiply that with 3
✓ 1 N 3 4 5 6 Conv A rectangular field is 300 meters long and 250 meters wide. What is the area of the field in square kilometers? Do not round your answer. 1000 millimet 100 centimet 10 decimet 1 decame 2 km Х X 5. ? 1 hectomei 1
Answer:
75 km
Step-by-step explanation:
Area = Length × Width
= 300m and 250m
= 75000m
M to Km => ÷1000
= 75000m ÷ 1000
= 75 km #
Solve for
x
Round to the nearest tenth, if necessary.
9514 1404 393
Answer:
x = 5.0
Step-by-step explanation:
The tangent relation is helpful:
Tan = Opposite/Adjacent
tan(50°) = x/4.2
x = 4.2·tan(50°) ≈ 5.0054 . . . . multiply by 4.2
x ≈ 5.0
Describe the following sequence using an algebraic expression as a rule 0; 2,4; 6
Answer:
Step-by-step explanation:
I assume the sequence is 0, 2, 4, 6
nth term = 2(n-1)
what is the decimal equivalent of 7/20
Kế hoạch đi dã ngoại của một gia đình sẽ bị hủy nếu trời có mây hoặc mưa. Biết xác suất để trời có mây là có mưa là có cả mây và mưa là . Tính xác suất để kế hoạch được thực hiện.
Answer:
itditsktxjtcv6tgcxufh-&#€#€($*:'₹€$*^'ditx_*^,tsitsitxmvditxitsitsjfxkhcoucuofoydoy
Find two consecutive whole numbers that 29 lies between.
Answer:
28 and 30
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Find the area of the shaded figure
Please help I apréciate everything
Answer:
2000*pi
Step-by-step explanation:
Shaded area= Area of bigger circle - Area of smaller circle
Shaded area= pi*(60)^2-pi*(40)^2=(60+40)(60-40)*pi=2000*pi
This graph represents which of these expressions?
Answer:
x > 43
Step-by-step explanation:
Open circle at 43, which means it is not equal to 43
Line goes to the right, which means x is greater than
x > 43
Answer:
B
Step-by-step explanation:
Find the first six terms of the sequence. a1 = 1, an = 4 • an-1
Answer:
1,4,16,64,245,1024
Step-by-step explanation:
a1 =1
an = 4 * an-1
Let n = 2
a2 = 4*a1 = 4*1=4
Let n = 3
a3 = 4*a2 = 4*4 = 16
Let n = 4
a4 = 4*a3 = 4*16 = 64
Let n = 5
a5 = 4*a4 = 4*64 = 256
Let n = 6
a6 = 4*a5 = 4*256 = 1024
The charge of eletricity for the first 20 unit is Rs 80 and Rs 7 per unit from 21 unit to 30 units. If service is Rs 75 find the total charge of 28 units
Large soda bottles are on sale three for six dollars. Sasha has eighteen dollars to spend on soda. How
many large bottles of soda can she buy?
Answer:
Sasha can buy 6 bottles of soda.
Step-by-step explanation:
6x2=18
3x2=6
Help me plz 20 points to who ever gets it right
Step-by-step explanation:
2., 3., 4., 5.
yes, you had the right idea to calculate the half distances between the coordinates. just create the absolute values of the full distance before cutting it in half.
you need to remember : we have to go this half distance from one point to the other (meaning adding our subtracting the half distance to/from the starting point).
2.
(-4, 6) to (10, -10)
in x the distance is 10 - -4 = 14. half is 7.
in y the distance is |-10 - 6| = |-16| = 16. half is 8.
so the midpoint is
(-4 + 7, 6 - 8) = (3, -2)
remember, to go the half distance in the direction towards the second point (so we have to choose properly, when to use "+" and "-" depending on the change of the coordinate : from -4 to 10 we have to add, from 6 to -10 we have to subtract, of course).
3.
(-3, -8) to (-6.5, -4.5)
in x distance : -3 - -6.5 = 3.5. half is 1.75
in y distance : -8 - -4.5 = |-3.5| = 3.5. half is 1.75
midpoint is
(-3 - 1.75, -8 + 1.75) = (-4.75, -6.25)
4.
(3, 7) to (-8, -10)
x : 3 - -8 = 11. half is 5.5
y : 7 - -10 = 17. half is 8.5
midpoint is
(3 - 5.5, 7 - 8.5) = (-2.5, -1.5)
5.
(-6, -13) to (-6.4, -3.8)
x : -6 - -6.4 = 0.4. half is 0.2
y : -13 - -3.8 = |-9.2| = 9.2. half is 4.6
midpoint is
(-6 - 0.2, -13 + 4.6) = (-6.2, -8.4)
6.
(-1, 7) to (5, 1)
x : -1 - 5 = |-6| = 6. 1/3 is 2.
y : 7 - 1 = 6. 1/3 is 2.
1/3 from C to D
(-1 + 2, 7 - 2) = (1, 5)
7.
2/3 of the way from D to C is the same point as in 6. (1/3 from C to D).
again
(1, 5)
8.
2/3 of the way from C to D.
so, we need to double what we added in 6.
(-1 + 4, 7 - 4) = (3, 3)
9.
1/3 of the way from D to C is the same point as in 8. (2/3 of the way from C to D).
again
(3, 3)
10.
exactly. Pythagoras.
the square root of the sum of the squares of the coordinate differences.
distance = sqrt((x1 - x2)² + (y1 - y2)²)
11.
(6, 8) to (-1, 8)
distance = sqrt((6 - -1)² + (8 - 8)²) = sqrt(49) = 7
12.
(5, -6) to (5, 6)
sqrt((5-5)² + (-6-6)²) = sqrt(144) = 12
13.
(-2, 0) to (11, 0)
sqrt((-2 - 11)² + (0-0)²) = sqrt(169) = 13
14.
(1, -5) to (9, 1)
sqrt((1-9)² + (-5 - 1)²) = sqrt(64 + 36) = sqrt(100) = 10
15.
ST and MT are basically the same equation.
MT is half of ST.
ST equation based on 2 points :
y – yS={(yT – yS)/(xT – xS)}(x – xS)
M = (xS + (xT - xS)/2, yS +(yT - yS)/2)
so, let's put that into the general equation :
y - yM={(yT - yM)/(xT - xM)}(x - xM)
y - (yS +(yT - yS)/2) = {(yT - (yS +(yT - yS)/2))/(xT - (xS + (xT - xS)/2))}(x - (xS + (xT - xS)/2))
16.
the two corners farthest away are (5, 10) and (9, 6).
what distance from (0, 0) is now bigger ?
since it is (0, 0), we can skip the 0s and just sum up the squares of the coordinates.
5² + 10² = 125
9² + 6² = 117
so, the corner (5, 10) is the farthest away.
Why do elephants have pointy tails
Answer:
Balance -
Step-by-step explanation:
Long tail is most likely to a fast and wanna light animal or to jump and climb long tail needs.Buy in case of elephants short tail
find the missing side round to the nearest tenth
Answer:
23.6
Step-by-step explanation:
cos38=x/30
x= 30cos38= 23.6 (nearest tenth)
7. Which of the following is an example of a proper fraction?
A. 11/10
B. 15/2
C.4/17
D.6/6
Answer:
C.4/17
Step-by-step explanation:
A proper fraction has a numerator that is less than the denominator
A. 11/10 11>10 improper
B. 15/2 15>2 improper
C.4/17 4 < 17 proper
D.6/6 6=6 improper
Answer:
C. 4/17
Explanation:
The numerator is smaller than the denominator.
√10 Multiple √15 is equal to
(a) 5√6
(b) 6√5
(c) √30
(d) √25
step by step
Solve :-
Answer:
(a). 5√6
Step-by-step explanation:
[tex] \sqrt{10} \times \sqrt{15} \\ = \sqrt{150} \\ = \sqrt{25 \times 6} \\ = 5 \sqrt{6} [/tex]
Dan scored 1/4 of the points at last nights basketball game. What percentage of the total points did he score
Divide 1 by 4 to get a decimal:
1 / 4 = 0.25
Multiply by 100 to get percent:
0.25 x 100 = 25%
Answer: 25%
Points scored by dan = 1/4
Percentage = 1/4×100
= 25%
Therefore he scored 25% of total points.
Must click thanks and mark brainliest
Wyatt is making a salad using tomatoes, cucumbers, and carrots. This table gives the cost, per kilogram, of each ingredient, and the amount, in kilograms, that Wyatt uses:
Ingredient Price per kilogram Amount
Tomatoes 3.30dollars per kilogram 0.3
Cucumbers x dollars per kilogram y kilograms
Carrots z dollars per kilogram 0.20
The total amount Wyatt spends on ingredients is C dollars.
Write an equation that relates x, y, z, and C.
According to the given information, we build the equation for the cost. After we build the equation, the equation that relates these measures is:
[tex]C = 0.99 + xy + 0.2z[/tex]
Cost:
0.3 kilograms of tomatoes, at 3.30 dollars per kilogram.
Thus, the cost starts at:
[tex]C = 0.3*3.3 = 0.99[/tex]
y kilograms of cucumbers, at x dollars per kilogram.
Considering this, the cost will now be of:
[tex]C = 0.99 + xy[/tex]
0.2 kilograms of carrots, at z dollars per kilogram:
Now, we have to consider this for the cost, so:
[tex]C = 0.99 + xy + 0.2z[/tex]
A similar example is given at https://brainly.com/question/14544759
13 is subtracted from the product of 4 and a certain number. The result is equal to the sum of 5 and the original number. Find the number.
Answer:
Step-by-step explanation:
4x - 13 = x + 5 Add 13 to both sides
4x = x + 18 Subtract x
3x = 18 Divide by 3
x = 6
Please help will give brainliest
Complete the equation describing how
x and y are related.
X
0
1
2
3
4
у
-6
-10
-14
- 18
-22
y = [ ? ]x + [ ]
Enter the answer that belongs in [?].
Answer:
-6
Step-by-step explanation:
The equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The y intercept is the value when x = 0
The y value is -6 when the x value is 0
y = -4x+ (-6)
URGENT PLEASE HELP DUE TMMR MORNING Half of the difference between a number and 3 is 5. What is the number?
Answer:
Not sure but I think it's 3.75
Which of the following best describes
Answer:
Central Angle
Step-by-step explanation:
Obtuse Angle is over 90 but under 180.
Central angle is like a acute angle.
Write an equation in slope-intercept form for the line with slope 4/3 and y-intercept -6.
Answer:
y=mx+b
Step-by-step explanation:
m=4/3×-6
I think this is the answer
Solve the following systems of equations using the substitution method. 6x + 2y = 82 and x − y = 3 y = 4x − 1 and x + y = 9 4x + 3y =17 and y = 5 − x
Step-by-step explanation:
puhhh ! that way of typing can be misleading.
let me sum up what equations I think the problem definition specified :
1)
6x + 2y = 82
x - y = 3
2)
y = 4x - 1
x + y = 9
3)
4x + 3y = 17
y = 5 - x
solving 1)
x - y = 3 => x = y + 3
putting this into the first equation
6×(y+3) + 2y = 82
6y + 18 + 2y = 82
8y +18 = 82
8y = 64
y = 8
x = y + 3 = 8 + 3 = 11
solving 2)
using the first equation in the second equation
x + (4x - 1) = 9
5x - 1 = 9
5x = 10
x = 2
y = 4x - 1 = 4×2 - 1 = 8 - 1 = 7
solving 3)
using the second equation in the first equation
4x + 3×(5 - x) = 17
4x + 15 - 3x = 17
x + 15 = 17
x = 2
y = 5 - x = 5 - 2 = 3
Given the arc, name the central angle.
FG
A. ∠GQJ
B. ∠FQG
C. ∠GQI
D. ∠HQI
Answer:
B
Step-by-step explanation:
Given arc FG then the central angle is the angle at the centre subtended by FG , that is
central angle = ∠ FQG
The central angle is B i.e ∠FQG
What is central angle?A central angle exists an angle whose vertex stands present at the center of a circle created by the two radii as the sides of the angle.
In Mathematics, an “arc” exists as a smooth curve joining two endpoints. In general, an arc exists one of the portions of a circle. It is essentially a part of the circumference of a circle. Arc exists as a part of a curve. An arc can be a portion of some other curved constitutions like an ellipse but mostly guides to a circle.
The angle substended by the arc would be ∠FQG.
To learn more about central angle refer to:
https://brainly.com/question/14205090
#SPJ2
What is the slope? Please Help
Answer:
-1
Step-by-step explanation:
Pick two points on the line
(0,2) and (2,0)
Using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 0-2)/(2-0)
= -2/2
= -1
Answer:
-1
Step-by-step explanation:
Use two points on the line to find the slope, using rise over run.
We can use the points (0, 2) and (2, 0).
From the first point to the other, the y value decreases by 2 and the x value increases by 2.
Use rise (change in y value) over run (change in x value):
-2 / 2
= -1
So, the slope is -1.
